Inverse problem of finding the coefficient of the lowest term in two-dimensional heat equation with Ionkin-type boundary condition

DOI10.1134/S0965542519050087zbMath1430.80010arXiv1701.09034OpenAlexW2962952017MaRDI QIDQ2332636

S. Erkovan, Mansur I. Ismailov

Publication date: 4 November 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.09034

zbMATH Keywords

numerical integrationVolterra integral equationgeneralized Fourier methoduniform finite difference method2D heat equationIonkin-type boundary conditionnon-uniform finite difference method

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical quadrature and cubature formulas (65D32) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Volterra integral equations (45D05) Inverse problems in thermodynamics and heat transfer (80A23) Second-order parabolic equations (35K10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (3)

Time-dependent lowest term estimation in a 2D bioheat transfer problem with nonlocal and convective boundary conditions ⋮ Direct and inverse problems for a 2D heat equation with a Dirichlet-Neumann-Wentzell boundary condition ⋮ Boundary value problems for a fourth order partial differential equation with an unknown right-hand part

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